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Finding the Fourth Proportional to 681.67, 1,021.73 and 270.49

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Solution

The fourth proportional to 681.67, 1,021.73 and 270.49 is: 405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.67 : 1,021.73 = 270.49 : x
  2. Step 2: Convert to fraction form
    681.67/1,021.73 = 270.49/x
  3. Step 3: Cross multiply
    681.67x = 1,021.73 × 270.49
  4. Step 4: Simplify right side
    681.67x = 276,367.75
  5. Step 5: Solve for x
    x = 276,367.75/681.67
  6. Step 6: Final answer
    x = 405.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.